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55203525 = 365213233
BaseRepresentation
bin1101001010010…
…1011011000101
310211212122000000
43102211123011
5103113003100
65251111513
71240136136
oct322453305
9124778000
1055203525
1129185253
12165a2599
13b58aa10
14748dc8d
154ca6900
hex34a56c5

55203525 has 84 divisors (see below), whose sum is σ = 111000708. Its totient is φ = 27060480.

The previous prime is 55203523. The next prime is 55203553. The reversal of 55203525 is 52530255.

55203525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12510369 + 42693156 = 3537^2 + 6534^2 .

It is not a de Polignac number, because 55203525 - 21 = 55203523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55203523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 236809 + ... + 237041.

It is an arithmetic number, because the mean of its divisors is an integer number (1321437).

Almost surely, 255203525 is an apocalyptic number.

It is an amenable number.

55203525 is an abundant number, since it is smaller than the sum of its proper divisors (55797183).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55203525 is a wasteful number, since it uses less digits than its factorization.

55203525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 55203525 is about 7429.9074691412. The cubic root of 55203525 is about 380.7637570733.

It can be divided in two parts, 5520 and 3525, that added together give a triangular number (9045 = T134).

The spelling of 55203525 in words is "fifty-five million, two hundred three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 233 243 325 351 405 585 675 699 729 975 1053 1165 1215 1755 2025 2097 2925 3029 3159 3495 3645 5265 5825 6075 6291 8775 9087 9477 10485 15145 15795 17475 18225 18873 26325 27261 31455 45435 47385 52425 56619 75725 78975 81783 94365 136305 157275 169857 227175 236925 245349 283095 408915 471825 681525 736047 849285 1226745 1415475 2044575 2208141 3680235 4246425 6133725 11040705 18401175 55203525